In problem use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the integral before

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In problem use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the integral before transforming.

ℒ{t2 * tet}


Theorem 7.4.2

If f(t) and g(t) are piecewise continuous on [0, ∞) and of exponential order, then

L{f* g} = £{f(1)) L{g(1)} = F(s) G(s). %3D

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